Bitwise Operations Calculator

Result

—
Bitwise Logic Tool

Perform bitwise operations — AND, OR, XOR, NOT, shifts — on binary numbers. Visualize how each bit is processed, perfect for understanding low-level programming and digital logic design.

5Number Systems
∞Precision
0msLatency

What is Bitwise Operations Calculator?

The Bitwise Operations Calculator is a tool that performs logical operations on individual bits of binary numbers. It supports all standard bitwise operations — AND, OR, XOR, NOT, left shift, and right shift — with visual bit-by-bit breakdowns showing exactly how each operation transforms the data.

This tool exists because bitwise operations are essential in low-level programming, systems development, and digital logic design. They are used for permission flags, color manipulation, data compression, encryption algorithms, network masking, and hardware register control. Despite their importance, bitwise operations can be unintuitive — this calculator makes them visual and understandable.

Whether you're learning bitwise logic for the first time, debugging flag-based permission systems, optimizing code with bit manipulation tricks, or studying digital circuit design, this calculator gives you instant results with complete transparency into every bit operation.

Interactive Demo

Bitwise Operations Calculator Formula

Toggle bits in the value and mask, then choose an operation to see the result. This is exactly how CPUs process bitwise instructions.

8-Bit Bitwise Engine
Value A
Value B (Mask)
Result
0
0
0
0
0
0
0
0
Decimal: 0 ₁₀
Practical Applications

Where Bitwise Ops Shine

&
AND — Masking
Extract specific bits. color & 0xFF extracts the blue channel. IP & subnet extracts the network address.
|
OR — Setting
Turn on specific bits / flags. flags | PERMISSION grants a permission. register | bitmask enables hardware features.
^
XOR — Toggling
Flip specific bits. value ^ mask toggles selected bits. Used in encryption (XOR cipher), error detection, and checksums.
Quick Reference

Bitwise Truth Tables

AND (&)
0 & 0 = 0
0 & 1 = 0
1 & 0 = 0
1 & 1 = 1
OR (|)
0 | 0 = 0
0 | 1 = 1
1 | 0 = 1
1 | 1 = 1
XOR (^)
0 ^ 0 = 0
0 ^ 1 = 1
1 ^ 0 = 1
1 ^ 1 = 0
NOT (~)
~0 = 1
~1 = 0
Left Shift (<<)
Shift bits left
Fill with 0
= multiply by 2
Right Shift (>>)
Shift bits right
MSB fill varies
= divide by 2
More

Other Number System Conversions

Related numeral systems converters for number conversion between binary, decimal, hexadecimal, octal, and ASCII text.

01→10 Binary to Decimal Converter 01.1→10 Binary Fraction to Decimal ±01→10 Signed Binary to Decimal 01→FF Binary to Hexadecimal 01→07 Binary to Octal N→N Binary Base Converter 01+01 Binary Calculator 01+01 Binary Addition 01−01 Binary Subtraction → 1,2,3 Step-by-Step Solver 0…255 Binary Table Generator 01→A Binary to Text A→01 Text to Binary ±1.M×2ᴱ Floating Point Converter 8b→256 Bit Size Converter 01→? Binary Decoder
FAQ

Frequently Asked Questions

What are bitwise operations?
Bitwise operations work on individual bits of binary numbers. The main operations are: AND (&) — both bits must be 1, OR (|) — at least one bit must be 1, XOR (^) — exactly one bit must be 1, NOT (~) — inverts all bits, Left Shift (<<) — shifts bits left (multiply by 2), Right Shift (>>) — shifts bits right (divide by 2).
How does bitwise AND work?
Bitwise AND compares each bit of two numbers: if both bits are 1, the result bit is 1; otherwise it's 0. Rules: 0&0=0, 0&1=0, 1&0=0, 1&1=1. Example: 1101 & 1010 = 1000₂. AND is commonly used for masking — extracting specific bits from a value by ANDing with a mask of 1s.
How does bitwise OR work?
Bitwise OR compares each bit: if at least one bit is 1, the result is 1; only if both are 0 is the result 0. Rules: 0|0=0, 0|1=1, 1|0=1, 1|1=1. Example: 1100 | 1010 = 1110₂. OR is commonly used for setting specific bits — turning bits on by ORing with a mask.
How does bitwise XOR work?
Bitwise XOR (exclusive OR) returns 1 when bits differ and 0 when they're the same. Rules: 0^0=0, 0^1=1, 1^0=1, 1^1=0. Example: 1100 ^ 1010 = 0110₂. XOR is special: A^A=0 (self-inverse), A^0=A (identity). It's used in encryption, error detection, swapping values without temp variables, and toggle operations.
What are bit shifts used for?
Left shift (<<) moves all bits left by n positions, filling with 0s on the right. This multiplies by 2ⁿ. Right shift (>>) moves bits right, effectively dividing by 2ⁿ. Shifts are used for fast multiplication/division by powers of 2, flag manipulation, color channel extraction, and protocol parsing.
Where are bitwise operations used in programming?
Bitwise operations are used in: flag management (permissions, feature toggles), graphics (color manipulation, pixel blending), networking (IP masks, protocol headers), cryptography (XOR ciphers), compression (bit packing), game development (collision masks), and embedded systems (hardware register control).
What is a bitmask?
A bitmask is a binary pattern used with bitwise operations to select, set, clear, or toggle specific bits. For example, to extract the lower 4 bits of a byte: value & 0x0F (AND with 00001111). To set bit 3: value | 0x08 (OR with 00001000). To toggle bit 5: value ^ 0x20 (XOR with 00100000).
Copied to clipboard!